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Beliebt Algebra >

completesquare y^2+3y

Lösung

vervollständige das quadrat

y^{2} + 3 y

Lösung

(y + \frac{3}{2})^{2} - \frac{9}{4}

Schritte zur Lösung

y^{2} + 3 y

Schreibe

y^{2} + 3 y

in dieser Form:

x^{2} + 2 a x + a^{2}

2 a = 3 : a = \frac{3}{2}

Addiere und subtrahiere

(\frac{3}{2})^{2}

y^{2} + 3 y + (\frac{3}{2})^{2} - (\frac{3}{2})^{2}

x^{2} + 2 a x + a^{2} = (x + a)^{2}

y^{2} + 3 y + (\frac{3}{2})^{2} = (y + \frac{3}{2})^{2}

(y + \frac{3}{2})^{2} - (\frac{3}{2})^{2}

Vereinfache

(y + \frac{3}{2})^{2} - \frac{9}{4}

Graph

Beliebte Beispiele

x^{2} - 10 - 24 = 0

x^{2} + 6 x + 3 = 1

x^{2} = 40 - 18 x

3 x - 2 = - 9 x^{2}

x^{2} - 6 = - 4 x - 6